We have been given an equation of circle 
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form 
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.
Adding half the square of coefficient of x and y term, we will get:
Therefore, the center of the circle is 
and radius is 4 units.
Answer:
The form ax2 + bx + c = 0 is called standard form of a quadratic equation. Before solving a quadratic equation using the Quadratic Formula, it's vital that you be sure the equation is in this form.
Step-by-step explanation:
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
The pages that have diagrams is an illustration of proportions
0.46% pages have diagrams
<h3>How to determine the percentage</h3>
The given parameters are:
Total = 650 pages
Diagrams = 3 pages
The percentage of page that has diagram is then calculated as:
So, we have:
Evaluate the product
Divide
Hence, 0.46% pages have diagrams
Read more about proportions at:
brainly.com/question/1781657
